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4423968 = 253215361
BaseRepresentation
bin10000111000000100100000
322022202112200
4100320010200
52113031333
6234453200
752413603
oct20700440
98282480
104423968
11255187a
121594200
13bbb843
1483233a
155c5c13
hex438120

4423968 has 36 divisors (see below), whose sum is σ = 12581478. Its totient is φ = 1474560.

The previous prime is 4423933. The next prime is 4423973. The reversal of 4423968 is 8693244.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3283344 + 1140624 = 1812^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 48 + 411 + 217 + 35 + 9 + 62 + 85 .

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7393 + ... + 7968.

Almost surely, 24423968 is an apocalyptic number.

4423968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4423968 is an abundant number, since it is smaller than the sum of its proper divisors (8157510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4423968 is a wasteful number, since it uses less digits than its factorization.

4423968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15377 (or 15366 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4423968 is about 2103.3230850252. The cubic root of 4423968 is about 164.1612532535.

The spelling of 4423968 in words is "four million, four hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 15361 30722 46083 61444 92166 122888 138249 184332 245776 276498 368664 491552 552996 737328 1105992 1474656 2211984 4423968